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Finding the Fourth Proportional to 12,860.37, 17,744.40 and 8,141.94

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Solution

The fourth proportional to 12,860.37, 17,744.40 and 8,141.94 is: 11,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.37 : 17,744.40 = 8,141.94 : x
  2. Step 2: Convert to fraction form
    12,860.37/17,744.40 = 8,141.94/x
  3. Step 3: Cross multiply
    12,860.37x = 17,744.40 × 8,141.94
  4. Step 4: Simplify right side
    12,860.37x = 144,473,840.14
  5. Step 5: Solve for x
    x = 144,473,840.14/12,860.37
  6. Step 6: Final answer
    x = 11,234.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.